Brezzi, Franco (ed.) et al., Numerical mathematics and advanced applications. Proceedings of ENUMATH 2001, the 4th European conference, Ischia, July 2001. Berlin: Springer (ISBN 88-470-0180-3/hbk). 173-178 (2003).

Summary: The present work is devoted to the study of unsteady flows of two immiscible viscous fluids separated by a free moving interface. A unified strategy for the numerical modelling of two-fluid interfacial flows is elaborated, including flows with possible changes of interface topology (like mergers or breakups). The computational approach presented essentially relies on three basic components: the finite element method for spatial approximation, operator-splitting for temporal discretization and the level-set method for interface representation. This enables us to cover a wide range of interfacial flow regimes with high accuracy. The numerical simulations of bubble dynamics phenomena are presented to validate the proposed computational method.

##### MSC:

76M25 | Other numerical methods (fluid mechanics) |

76D99 | Incompressible viscous fluids |